Least Common Multiple (LCM) of 103 and 79
The least common multiple (LCM) of 103 and 79 is 8137.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 103 and 79?
First, calculate the GCD of 103 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 79 = 1 remainder 24 |
| 2 | 79 ÷ 24 = 3 remainder 7 |
| 3 | 24 ÷ 7 = 3 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 91 | 18018 |
| 64 and 21 | 1344 |
| 97 and 32 | 3104 |
| 79 and 159 | 12561 |
| 76 and 120 | 2280 |